Concept explainers
(a)
To find the equation of the line of the best fit for the dataand plot the data -
(a)
Answer to Problem 19E
The equation of the best fit of the line is
Explanation of Solution
Given:
Formula Used:
The line of fit is the line that most closely goes through the points of data.
The equation of a line is written as
Calculation:
Given is −
Plotting the above points on the graph, we have:
Considering the below two points as they fall on the same straight line, we have:
Thus, we have:
Slope
Thus, the equation of the line is
Thus, the equation of the best fit of the line is
Conclusion:
The equation of the best fit of the line is
(b)
To identify and interpret the
(b)
Answer to Problem 19E
The correlation co-efficient is
Explanation of Solution
Given:
Formula Used:
The formula to calculate correlation co-efficient is -
Calculation:
Given is −
Using the above formula to calculate correlation co-efficient, we have -
Thus, we have:
Conclusion:
The correlation co-efficient is
(c)
To interpret the slope and y-intercept of the line of the best fit-
(c)
Answer to Problem 19E
The slope is
Explanation of Solution
Given:
Formula Used:
The line of fit is the line that most closely goes through the points of data.
The equation of a line is written as
Calculation:
Given is −
Equation of the best fit of the line is
Equation can be written as:
Thus, Slope is
Conclusion:
The slope is
(d)
To approximate the mileage of an automobile that costs
(d)
Answer to Problem 19E
The mileage of an automobile is
Explanation of Solution
Given:
Formula Used:
The line of fit is the line that most closely goes through the points of data.
The equation of a line is written as
Calculation:
Given is −
Equation of the best fit of the line is
Equation can be written as:
Since,
Conclusion:
The mileage of an automobile is
(e)
To find the price of automobile with
(e)
Answer to Problem 19E
The price of automobile with
Explanation of Solution
Given:
Formula Used:
The line of fit is the line that most closely goes through the points of data.
The equation of a line is written as
Calculation:
Given is −
Equation of the best fit of the line is
Equation can be written as:
Since,
Thus, the price of automobile with
Conclusion:
The price of automobile with
Chapter 4 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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